Answer:
B
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for x
and the exact value for sin45° = [tex]\frac{1}{\sqrt{2} }[/tex], then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex]
Multiply both sides by x
x × sin45° = 6 ( divide both sides by sin45° )
x = [tex]\frac{6}{sin45}[/tex] = [tex]\frac{6}{\frac{1}{\sqrt{2} } }[/tex] = 6[tex]\sqrt{2}[/tex]
